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Finding the Fourth Proportional to 5,298.42, 7,310.61 and 3,309.47

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Solution

The fourth proportional to 5,298.42, 7,310.61 and 3,309.47 is: 4,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.42 : 7,310.61 = 3,309.47 : x
  2. Step 2: Convert to fraction form
    5,298.42/7,310.61 = 3,309.47/x
  3. Step 3: Cross multiply
    5,298.42x = 7,310.61 × 3,309.47
  4. Step 4: Simplify right side
    5,298.42x = 24,194,207.92
  5. Step 5: Solve for x
    x = 24,194,207.92/5,298.42
  6. Step 6: Final answer
    x = 4,566.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.